Question Description
simulation and modelling
The figure below shows a safety bumper placed at the end of a raretrack to stop out-of-control vehicles. The force that the bumper applies to the vehicle is given by F=Kv3(x+1)3 where K=32 kg-s/m5 (a constant), x= displacement of the front edge of the bumper and v= velocity of the front edge of the bumper. A vehicle of mass 2000 kg hits the bumper at a speed of 100 km/h. Write a MATLAB program to determine and plot the velocity of the vehicle as a function of x for 0 ≤ x ≤ 5m.
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